374.92 is what percent of 658.91 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 658.91 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 658.91, so we can write it down as 100%=658.91.
4. We know, that x% equals 374.92 of the output value, so we can write it down as x%=374.92.
5. Now we have two simple equations:
1) 100%=658.91
2) x%=374.92
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=658.91/374.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 374.92 is what percent of 658.91

100%/x%=658.91/374.92
(100/x)*x=(658.91/374.92)*x       - we multiply both sides of the equation by x
100=1.7574682598954*x       - we divide both sides of the equation by (1.7574682598954) to get x
100/1.7574682598954=x
56.900031870817=x
x=56.900031870817

now we have:
374.92 is 56.900031870817% of 658.91